{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 泊松分布（Poisson Distribution）\n",
    "***\n",
    "## 定义：\n",
    "\n",
    "现实生活多数服从于泊松分布\n",
    "\n",
    "假设你在一个呼叫中心工作，一天里你大概会接到多少个电话？它可以是任何一个数字。现在，呼叫中心一天的呼叫总数可以用泊松分布来建模。这里有一些例子：\n",
    "\n",
    "- 医院在一天内录制的紧急电话的数量。\n",
    "- 某个地区在一天内报告的失窃的数量。\n",
    "- 在一小时内抵达沙龙的客户人数。\n",
    "- 在特定城市上报的自杀人数。\n",
    "- 书中每一页打印错误的数量。\n",
    "泊松分布适用于在随机时间和空间上发生事件的情况，其中，我们只关注事件发生的次数。\n",
    "\n",
    "当以下假设有效时，则称为泊松分布\n",
    "\n",
    "- 任何一个成功的事件都不应该影响另一个成功的事件。\n",
    "- 在短时间内成功的概率必须等于在更长的间内成功的概率。\n",
    "- 时间间隔变小时，在给间隔时间内成功的概率趋向于零。\n",
    "\n",
    "泊松分布中使用了这些符号：\n",
    "\n",
    "- λ是事件发生的速率\n",
    "- t是时间间隔的长\n",
    "- X是该时间间隔内的事件数。\n",
    "- 其中，X称为泊松随机变量，X的概率分布称为泊松分布。\n",
    "\n",
    "- 令μ表示长度为t的间隔中的平均事件数。那么，µ = λ*t。\n",
    "\n",
    "\n",
    "例如说一个医院中，每个病人来看病都是随机并独立的概率，则该医院一天（或者其他特定时间段，一小时，一周等等）接纳的病人总数可以看做是一个服从poisson分布的随机变量。但是为什么可以这样处理呢？我个人认为最好的解释方法是从poisson的两种不同定义上着手。Poisson分布的第一个定义是一个随机变量X, 只能取值非负整数（x=0,1,2,...），且相应的概率为，则该变量称为服从poisson分布。\n",
    "这个定义就是我们平时考试或者理论工作时用的poisson随机变量的定义。注意Poisson还有一个知名度比较小的第二个定义，或者说是Poisson Process的定义：假定一个事件在一段时间内随机发生，且符合以下条件：\n",
    "- （1）将该时间段无限分隔成若干个小的时间段，在这个接近于零的小时间段里，该事件发生一次的概率与这个极小时间段的长度成正比。\n",
    "- （2）在每一个极小时间段内，该事件发生两次及以上的概率恒等于零。\n",
    "- （3）该事件在不同的小时间段里，发生与否相互独立。\n",
    "\n",
    "则该事件称为poisson process。这个第二定义就更加利于大家理解了，回到医院的例子之中，如果我们把一天分成24个小时，或者24x60分钟，或者24x3600秒。时间分的越短，这个时间段里来病人的概率就越小（比如说医院在正午12点到正午12点又一毫秒之间来病人的概率是不是很接近于零？）。 条件一符合。另外如果我们把时间分的很细很细，是不是同时来两个病人（或者两个以上的病人）就是不可能的事件？即使两个病人同时来，也总有一个人先迈步子跨进医院大门吧。条件二也符合。倒是条件三的要求比较苛刻。应用到实际例子中就是说病人们来医院的概率必须是相互独立的，如果不是，则不能看作是poisson分布。\n",
    "\n",
    "## 公式\n",
    "\n",
    "$$ f(x|\\lambda) = \\frac{\\lambda^{x}e^{-\\lambda}}{x!}$$\n",
    "where $\\lambda$ denotes the mean of the distribution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "已知平均每小时出生3个婴儿，请问下一个小时，会出生几个？\n",
    "\n",
    "有可能一下子出生6个，也有可能一个都不出生。这是我们没法知道的。\n",
    "\n",
    "泊松分布就是描述某段时间内，事件具体的发生概率。\n",
    "\n",
    "<img src=\"./img/3.png\" style=\"width:200px;height:100px;float:left\"> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面就是泊松分布的公式。等号的左边，P 表示概率，N表示某种函数关系，t 表示时间，n 表示数量，1小时内出生3个婴儿的概率，就表示为 P(N(1) = 3) 。等号的右边，λ 表示事件的频率。\n",
    "\n",
    "\n",
    "接下来两个小时，一个婴儿都不出生的概率是0.25%，基本不可能发生。\n",
    "\n",
    "<img src=\"./img/4.png\" style=\"width:250px;height:100px;float:left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来一个小时，至少出生两个婴儿的概率是80%。\n",
    "\n",
    "<img src=\"./img/5.png\" style=\"width:350px;height:230px;float:left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "泊松分布的图形大概是下面的样子。\n",
    "\n",
    "<img src=\"./img/6.png\" style=\"width:350px;height:180px;float:left\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "e:\\ProgramData\\Anaconda3\\lib\\site-packages\\matplotlib\\__init__.py:1710: MatplotlibDeprecationWarning: The *left* kwarg to `bar` is deprecated use *x* instead. Support for *left* will be removed in Matplotlib 3.0\n",
      "  return func(ax, *args, **kwargs)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(-2.5,1.1,'Depicted below are the normed probability mass function (pmf) and the cumulative density\\nfunction (cdf) of a Poisson distributed random variable $ y \\\\sim Poi(\\\\lambda) $, given $ \\\\lambda = 5 $.')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3t4eGhgaePn3KWiuxqqoKW7duxc8//8zZtJqNeB5jZ2eHnj17wsjICEVFRXjy5Imo2a6z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\nlzuQCAAAAACA5EZTEUC9Zuz8Qb5Xn4pbC/1pjJTRyOZEAAAAA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      "text/plain": [
       "<matplotlib.figure.Figure at 0x21af18f5e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# IMPORTS\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.style as style\n",
    "from IPython.core.display import HTML\n",
    "\n",
    "# PLOTTING CONFIG\n",
    "%matplotlib inline\n",
    "style.use('fivethirtyeight')\n",
    "plt.rcParams[\"figure.figsize\"] = (14, 7)\n",
    "\n",
    "plt.figure(dpi=100)\n",
    "\n",
    "# PDF\n",
    "plt.bar(left=np.arange(20), \n",
    "        height=(stats.poisson.pmf(np.arange(20), mu=5)), \n",
    "        width=.75,\n",
    "        alpha=0.75\n",
    "       )\n",
    "\n",
    "# CDF\n",
    "plt.plot(np.arange(20), \n",
    "         stats.poisson.cdf(np.arange(20), mu=5),\n",
    "         color=\"#fc4f30\",\n",
    "        )\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=8, y=.45, s=\"pmf (normed)\", alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=8.5, y=.9, s=\"cdf\", alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "\n",
    "# TICKS\n",
    "plt.xticks(range(21)[::2])\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0.005, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# TITLE, SUBTITLE & FOOTER\n",
    "plt.text(x = -2.5, y = 1.25, s = \"Poisson Distribution - Overview\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -2.5, y = 1.1, \n",
    "         s = 'Depicted below are the normed probability mass function (pmf) and the cumulative density\\nfunction (cdf) of a Poisson distributed random variable $ y \\sim Poi(\\lambda) $, given $ \\lambda = 5 $.',\n",
    "         fontsize = 19, alpha = .85)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "## Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-2.5,0.425,'Depicted below are three Poisson distributed random variables with varying $\\\\lambda $. As one can easily\\nsee the parameter $\\\\lambda$ shifts and flattens the distribution (the smaller $ \\\\lambda $ the sharper the function).')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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IsrIyrflECCGEEEIIIUQ/ZrHmJhttj0ZmZWWhY8eOGrdreuOujY2NoBfn3bp1Q7du3Zi/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\nppUheW1ofyJUXeeaf2KUzZbYr4pZxrnkAdc0BoT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Hp86tSpLF68mH/7t3/jhRdeYOPGjZSUlDBp0iSuvvpqrr322t1NkUR6s/KYw+hyj09agi7HV+4I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\nimtgyDnd15zIRns1J1qAcWKY0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LuYxi0QBtiKAeB232vNBu3pLtBbXsdGmR+kZMThFuFV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Lcepvxp5xU3SN07qpmM058vWKTr+GCdKgLHSQRLnlYCcHzExRdhydO45/4LvEFj1woQ5FCCHG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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21af1096390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=100)\n",
    "\n",
    "# PDF LAM = 1\n",
    "plt.scatter(np.arange(20),\n",
    "            (stats.poisson.pmf(np.arange(20), mu=1)),#/np.max(stats.poisson.pmf(np.arange(20), mu=1))),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(20),\n",
    "         (stats.poisson.pmf(np.arange(20), mu=1)),#/np.max(stats.poisson.pmf(np.arange(20), mu=1))),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# PDF LAM = 5\n",
    "plt.scatter(np.arange(20),\n",
    "            (stats.poisson.pmf(np.arange(20), mu=5)),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(20),\n",
    "         (stats.poisson.pmf(np.arange(20), mu=5)),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# PDF LAM = 10\n",
    "plt.scatter(np.arange(20),\n",
    "            (stats.poisson.pmf(np.arange(20), mu=10)),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(20),\n",
    "         (stats.poisson.pmf(np.arange(20), mu=10)),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=3, y=.1, s=\"$\\lambda = 1$\", alpha=.75, rotation=-65, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=8.25, y=.075, s=\"$\\lambda = 5$\", alpha=.75, rotation=-35, weight=\"bold\", color=\"#fc4f30\")\n",
    "plt.text(x=14.5, y=.06, s=\"$\\lambda = 10$\", alpha=.75, rotation=-20, weight=\"bold\", color=\"#e5ae38\")\n",
    "\n",
    "# TICKS\n",
    "plt.xticks(range(21)[::2])\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# TITLE, SUBTITLE & FOOTER\n",
    "plt.text(x = -2.5, y = .475, s = \"Poisson Distribution - $\\lambda$\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -2.5, y = .425, \n",
    "         s = 'Depicted below are three Poisson distributed random variables with varying $\\lambda $. As one can easily\\nsee the parameter $\\lambda$ shifts and flattens the distribution (the smaller $ \\lambda $ the sharper the function).',\n",
    "         fontsize = 19, alpha = .85)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12\n",
      "\n",
      "[ 6 11 14  7  8  9 11  8 10  7]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import poisson\n",
    "\n",
    "# draw a single sample\n",
    "np.random.seed(42)\n",
    "print(poisson.rvs(mu=10), end=\"\\n\\n\")\n",
    "\n",
    "# draw 10 samples\n",
    "print(poisson.rvs(mu=10, size=10), end=\"\\n\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probability Mass Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AADonbAIAANA5YRMAAIDOCZsAAAB0TtgEAACgc8ImAAAAnRM2AQAA6JywCQAAQOeETQAA\nADq3ddAFAMCwuzTXcvSZ2Tw8NZOZiy1jWyt37RnLwV2jGakadHkA8IoQNgHgFfTs7KUcPjadE2cv\n5Nzcd7Y/cfp83vfUt3Jk/3h2jm4ZXIEA8AoxjBYAXiFzreXwsekcP/PSoJkk5+aS42cu5PCx6cy1\nNpgCAeAVJGwCwCvk6MnZnDh74ZptTpy9kEeemV2jigBg7QibAPAKeWhq5oo7moudm0semJxZm4IA\nYA0JmwDwCpm52N/w2Nk+2wHARiJsAsArZGxrf0+aHe2zHQBsJMImALxC7tozlu3L/Eu7fSS5e2Js\nbQoCgDUkbALAK+TgrtHsvXHbNdvsvXFbDtw6ukYVAcDa6StsVtUdVfWlqpqqqvuW2P+GqvpMVV2s\nqjsX7bunqiZ7n3sWbN9XVZ/vnfMfV3mrNQDDZaQqR/aPZ9+ObVfc4dw+kuzbsS1H9o9nxD+BAAyh\nrcs1qKotSd6f5M1JTiV5sqqOtta+sKDZV5P8RJKfXnTsjUn+2yR/NUlLcrx37DeT/GKSv5XkD5M8\nmuSOJL/zci8IANaTnaNb8viBnfn4ydk8ODWT2Ysto1srd0+M5cCto4ImAENr2bCZ5LVJplprTydJ\nVR1JcijJi2GztXayt2/xA97/epLHW2tne/sfT3JHVX0yyXe31v6gt/3Xkrw1wiYAQ2ikKod2j+XQ\nbnMzAdg8+gmbNyX52oL1U0le1+f5lzr2pt7n1BLblzQ5OdnntxuM9V4fy9OHw0E/Dgf9OBz043DQ\njxufPhwO67UfJyYmrrm/n7C51Piefl8IdrVjV3TO5S5ikCYnJ9d1fSxPHw4H/Tgc9ONw0I/DQT9u\nfPpwOGzkfuznAUGnktyyYP3mJKf7PP/Vjj3VW17NOQEAAFjn+gmbTyaZqKrdVXVdksNJjvZ5/seS\n/GhVvbqqXp3kR5M81lr7RpIXqur1vafQ/niS315F/QAAAKxDy4bN1trFJPdmPjh+MclHWmsnqur+\nqjqYJFX1w1V1KsnbkvxSVZ3oHXs2yX+f+cD6ZJL7Lz8sKMnfTvIrSaaSfDkeDgQAADA0+pmzmdba\no5l/PcnCbe9ZsPxkXjosdmG7Dyb54BLbP53kB1ZSLAAAABtDP8NoAQAAYEWETQAAADonbAIAANA5\nYRMAAIDOCZsAAAB0TtgEAACgc8ImAAAAnRM2AQAA6JywCQAAQOeETQAAADonbAIAANA5YRMAAIDO\nCZsAAAB0TtgEAACgc8ImAAAAnRM2AQAA6NzWQRcAg3BpruXoM7N5eGom089fn/GTZ3LXnrEc3DWa\nkapBlwcAABuesMmm8+zspRw+Np0TZy/k3FySbEmeP58nTp/P+576Vo7sH8/O0S2DLhMAADY0w2jZ\nVOZay+Fj0zl+5nLQ/I5zc8nxMxdy+Nh05lobTIEAADAkhE02laMnZ3Pi7IVrtjlx9kIeeWZ2jSoC\nAIDhJGyyqTw0NXPFHc3Fzs0lD0zOrE1BAAAwpIRNNpWZi/0Nj53tsx0AALA0YZNNZWxrf0+aHe2z\nHQAAsDRhk03lrj1j2b7Mn/rtI8ndE2NrUxAAAAwpYZNN5eCu0ey9cds12+y9cVsO3Dq6RhUBAMBw\nEjbZVEaqcmT/ePbt2HbFHc7tI8m+HdtyZP94RsowWgAAeDm2DroAWGs7R7fk8QM78/GTs3lwaibT\nL8xk/FVjuXtiLAduHRU0AQCgA8Imm9JIVQ7tHsuh3WOZnJzMxMRrBl0SAAAMFcNoAQAA6JywCQAA\nQOeETQAAADonbAIAANA5YRMAAIDOCZsAAAB0rq+wWVV3VNWXqmqqqu5bYv/1VfUbvf2fqqpdve3v\nqKrPLvjMVdXtvX2f7J3z8r7v7fLCAAAAGJxlw2ZVbUny/iRvSXJbkrdX1W2Lmr0ryTdba3uS/EKS\nn0+S1tqDrbXbW2u3J3lnkpOttc8uOO4dl/e31v60g+sBAABgHejnzuZrk0y11p5urX07yZEkhxa1\nOZTkw73ljyZ5U1XVojZvT/LwyykWAACAjaFaa9duUHVnkjtaaz/ZW39nkte11u5d0OapXptTvfUv\n99qcWdDmy0kOtdae6q1/Msl4kktJPpbkvW1BMc8999yLy5OTky/zMgEAAOjSxMTEi8s33HDD4puN\n2drHOa44KMnihHrNNlX1uiQzl4Nmzztaa1+vqldlPmy+M8mvLVXAwotYbyYnJ9d1fSxPHw4H/Tgc\n9ONw0I/DQT9ufPpwOGzkfuxnGO2pJLcsWL85yemrtamqrUluSHJ2wf7DWTSEtrX29d7XF5I8lPnh\nugAAAAyBfsLmk0kmqmp3VV2X+eB4dFGbo0nu6S3fmeQTl4fEVtVIkrdlfq5netu2VtWO3vK2JAeS\nPBUAAACGwrLDaFtrF6vq3iSPJdmS5IOttRNVdX+ST7fWjib5QJJfr6qpzN/RPLzgFG9Icqq19vSC\nbdcneawXNLckOZbkn3VyRQAAAAxcP3M201p7NMmji7a9Z8HyuczfvVzq2E8mef2ibf86yb4V1goA\nAMAG0c8wWgAAAFgRYRMAAIDOCZsAAAB0TtgEAACgc8ImAAAAnRM2AQAA6Fxfrz4BALiWS3MtR5+Z\nzcNTM5l+/vqMnzyTu/aM5eCu0YxUDbo8AAZA2AQAXpZnZy/l8LHpnDh7IefmkmRL8vz5PHH6fN73\n1LdyZP94do5uGXSZAKwxw2gBgFWbay2Hj03n+JnLQfM7zs0lx89cyOFj05lrbTAFAjAwwiYAsGpH\nT87mxNkL12xz4uyFPPLM7BpVBMB6IWwCAKv20NTMFXc0Fzs3lzwwObM2BQGwbgibAMCqzVzsb3js\nbJ/tABgewiYAsGpjW/t70uxon+0AGB7CJgCwanftGcv2ZX6b2D6S3D0xtjYFAbBuCJsAwKod3DWa\nvTduu2abvTduy4FbR9eoIgDWC2ETAFi1kaoc2T+efTu2XXGHc/tIsm/HthzZP56RMowWYLPZOugC\nAICNbefoljx+YGc+fnI2D07NZPqFmYy/aix3T4zlwK2jgibAJiVsAgAv20hVDu0ey6HdY5mcnMzE\nxGsGXRIAA2YYLQAAAJ0TNgEAAOicsAkAAEDnhE0AAAA6J2wCAADQOWETAACAzgmbAAAAdE7YBAAA\noHPCJgAAAJ0TNgEAAOicsAkAAEDnhE0AAAA6J2wCAADQOWETAACAzgmbAAAAdE7YBAAAoHN9hc2q\nuqOqvlRVU1V13xL7r6+q3+jt/1RV7ept31VVs1X12d7nny44Zl9Vfb53zD+uqurqogAAABisZcNm\nVW1J8v4kb0lyW5K3V9Vti5q9K8k3W2t7kvxCkp9fsO/LrbXbe5+fWrD9F5P8rSQTvc8dq78MAAAA\n1pN+7my+NslUa+3p1tq3kxxJcmhRm0NJPtxb/miSN13rTmVVfV+S726t/UFrrSX5tSRvXXH1AAAA\nrEtb+2hzU5KvLVg/leR1V2vTWrtYVc8lGe/t211Vf5Tk+ST/sLX2f/ban1p0zpuuVsDk5GQfZQ7O\neq+P5enD4aAfh4N+HA76cTjox41PHw6H9dqPExMT19zfT9hc6g5l67PNN5K8prU2XVX7kvxWVe3t\n85wvWu4iBmlycnJd18fy9OFw0I/DQT8OB/04HPTjxqcPh8NG7sd+htGeSnLLgvWbk5y+Wpuq2prk\nhiRnW2vnW2vTSdJaO57ky0n+zV77m5c5JwAAABtUP2HzySQTVbW7qq5LcjjJ0UVtjia5p7d8Z5JP\ntNZaVe3sPWAoVfX9mX8Q0NOttW8keaGqXt+b2/njSX67g+sBAABgHVh2GG1vDua9SR5LsiXJB1tr\nJ6rq/iSfbq0dTfKBJL9eVVNJzmY+kCbJG5LcX1UXk1xK8lOttbO9fX87yYeSjCb5nd4HAACAIdDP\nnM201h5N8uiibe9ZsHwuyduWOO5jST52lXN+OskPrKRYAAAANoZ+htECAADAigibAAAAdE7YBAAA\noHPCJgAAAJ0TNgEAAOicsAkAAEDnhE0AAAA6J2wCAADQOWETAACAzgmbAAAAdE7YBAAAoHPCJgAA\nAJ0TNgEAAOjc1kEXAACwEVyaazn6zGwenprJzMWWsa2Vu/aM5eCu0YxUDbo8gHVH2AQAWMazs5dy\n+Nh0Tpy9kHNz39n+xOnzed9T38qR/ePZObplcAUCrEOG0QIAXMNcazl8bDrHz7w0aCbJubnk+JkL\nOXxsOnOtDaZAgHVK2AQAuIajJ2dz4uyFa7Y5cfZCHnlmdo0qAtgYDKPlCuakAMB3PDQ1c8UdzcXO\nzSUPTM7k4K6xtSkKYAMQNnkJc1IA4KVmLvY3PHa2z3YAm4VhtLzInBQAuNLY1v5G9Yz22Q5gsxA2\neZE5KQBwpbv2jGX7Mr8xbR9J7p4whBZgIWGTF61kTgoAbBYHd41m743brtlm743bcuDW0TWqCGBj\nEDZ5kTkpAHClkaoc2T+efTu2XXGHc/tIsm/HthzZP+4hegCLeEAQLzInBQCWtnN0Sx4/sDMfPzmb\nB6dmMnuxZXRr5e6JsRy41dPaAZYibPKiu/aM5YnT5685lNacFAA2q5GqHNo9lkO7/TsI0A/DaHmR\nOSkAAEBXhE1eZE4KAADQFcNoeQlzUgAAgC4Im1zBnBQAAODlMowWAACAzgmbAAAAdE7YBAAAoHPC\nJgAAAJ0TNgEAAOhcX2Gzqu6oqi9V1VRV3bfE/uur6jd6+z9VVbt6299cVcer6vO9r29ccMwne+f8\nbO/zvV1dFAAAAIO17KtPqmpLkvcneXOSU0merKqjrbUvLGj2riTfbK3tqarDSX4+yd9IcibJf9xa\nO11VP5DksSQ3LTjuHa21T3d0LQAAAKwT/dzZfG2Sqdba0621byc5kuTQojaHkny4t/zRJG+qqmqt\n/VFr7XRv+4kk26vq+i4KBwAAYP2q1tq1G1TdmeSO1tpP9tbfmeR1rbV7F7R5qtfmVG/9y702Zxad\n56daa/t7659MMp7kUpKPJXlvW1DMc8899+Ly5OTky7xMAAAAujQxMfHi8g033FCL9y87jDbJFQcl\nWZxQr9mmqvZmfmjtjy7Y/47W2ter6lWZD5vvTPJrSxWw8CLWm8nJyXVdH8vTh8NBPw4H/Tgc9ONw\n0I8bnz4cDhu5H/sZRnsqyS0L1m9Ocvpqbapqa5Ibkpztrd+c5DeT/Hhr7cuXD2itfb339YUkD2V+\nuC4AAABDoJ+w+WSSiaraXVXXJTmc5OiiNkeT3NNbvjPJJ1prraq+J8m/TPLu1tr/dblxVW2tqh29\n5W1JDiR56uVdCgAAAOvFsmGztXYxyb2Zf5LsF5N8pLV2oqrur6qDvWYfSDJeVVNJ/l6Sy69HuTfJ\nniT/zaJXnFyf5LGq+lySzyb5epJ/1uWFAQAAMDj9zNlMa+3RJI8u2vaeBcvnkrxtiePem+S9Vznt\nvv7LBAAAYCPpZxgtAAAArEhfdzYBABh+l+Zajj4zm4enZjL9/PUZP3kmd+0Zy8FdoxmppV4+AHB1\nwiYAAHl29lIOH5vOibMXcm4uSbYkz5/PE6fP531PfStH9o9n5+iWQZcJbCCG0QIAbHJzreXwsekc\nP3M5aH7Hubnk+JkLOXxsOnNt8avWAa5O2AQA2OSOnpzNibMXrtnmxNkLeeSZ2TWqCBgGwiYAwCb3\n0NTMFXc0Fzs3lzwwObM2BQFDQdgEANjkZi72Nzx2ts92AImwCQCw6Y1t7e9Js6N9tgNIhE0AgE3v\nrj1j2b7Mb4XbR5K7J8bWpiBgKAibAACb3MFdo9l747Zrttl747YcuHV0jSoChoGwCQCwyY1U5cj+\n8ezbse2KO5zbR5J9O7blyP7xjJRhtED/tg66AAAABm/n6JY8fmBnPn5yNg9OzWT6hZmMv2osd0+M\n5cCto4ImsGLCJgAASebvcB7aPZZDu8cyOTmZiYnXDLokYAMzjBYAAIDOCZsAAAB0TtgEAACgc8Im\nAAAAnRM2AQAA6Jyn0QIAsClcmms5+sxsHp6ayczFlrGtlbv2jOXgLq92gVeCsAkAwNB7dvZSDh+b\nzomzF3Ju7jvbnzh9Pu976ls5sn88O0e3DK5AGEKG0QIAMNTmWsvhY9M5fualQTNJzs0lx89cyOFj\n05lrbTAFwpByZ3MVFg7BmH7++oyfPGMIBgDAOnX05GxOnL1wzTYnzl7II8/M5uCusTWqCoafsLlC\nVw7B2JI8f94QDACAdeqhqZlHDFJjAAAJt0lEQVQr7mgudm4ueWByRtiEDhlGuwKGYAAAbDwzF/v7\n3Wy2z3ZAf4TNFVjJEAwAANaHsa39TXMa7bMd0B9hcwVWMgQDAID14a49Y9m+zG+920eSuycMoYUu\nCZsrYAgGAMDGc3DXaPbeuO2abfbeuC0Hbh1do4peOZfmWn7zKzP5scfP5Kc+d31+7PEz+a2vzJjm\nxUB4QNAKGIIBALDxjFTlyP7xJd+zuX1kPmge2T++4d8q4EGWrDfC5grctWcsT5w+f82htIZgAACs\nPztHt+TxAzvz8ZOzeXBqJrMXW0a3Vu6eGMuBWzf+6+sWPshysYUPsnz8wM4Nf61sHMLmChzcNZr3\nPfWtJX+ILxuWIRgAAMNmpCqHdo/l0O7huzHgXaKsR+ZsrsDlIRj7dmy7YpL59pFk347hGIIBAMDG\nspkeZLlwXuqB33nWvNR1zJ3NFVo8BGP6hZmMv2psaIZgAACw8WyWB1leOS913rDNS70013L0mdk8\nPDWT6eevz/jJM7lrz1gO7tpYeUPYXIWFQzAmJyczMfGaQZcEAMAmthkeZLlZ5qUO04OeDKMFAIAN\nbjO8S3Ql81I3qoWBevGw6IWBeqMMGe4rbFbVHVX1paqaqqr7lth/fVX9Rm//p6pq14J97+5t/1JV\n/fV+zwkAAPRnM7xLdDPMSx22QL1s2KyqLUnen+QtSW5L8vaqum1Rs3cl+WZrbU+SX0jy871jb0ty\nOMneJHck+d+qakuf5wQAAPqwGR5kuRnmpQ5boO5nzuZrk0y11p5Okqo6kuRQki8saHMoyX/XW/5o\nkn9SVdXbfqS1dj7JV6pqqne+9HFOAACgT8P+IMvNMC912AJ1P2HzpiRfW7B+KsnrrtamtXaxqp5L\nMt7b/oeLjr2pt7zcOV80OTnZR5mDs97rY3n6cDjox+GgH4eDfhwO+nFjui3Jz+66vHY+ufDNfHlq\ncPV05Y3fNZJP1vX5drt6mLyuWt70557L5OQ317Cy7rTz16WfiDZ3fmZd/HxOTExcc38/YXOp3lwc\npa/W5mrblxq+e9V4vtxFDNL802jXb30sTx8OB/04HPTjcNCPw0E/bnzD1od/cU/LP59+dsmn0V72\ng+PX5W++/qYNexf3b26dyfEnvnnNobTbR5L/9Padmdi1/h/21M8Dgk4luWXB+s1JTl+tTVVtTXJD\nkrPXOLafcwIAACTZHPNSh+1BT/2EzSeTTFTV7qq6LvMP/Dm6qM3RJPf0lu9M8onWWuttP9x7Wu3u\nJBNJ/p8+zwkAAPCiy/NSf+kNr86P3nx9/r0/f11+9Obr88v//qvz+IGdG+b9k1czbIF62WG0vTmY\n9yZ5LMmWJB9srZ2oqvuTfLq1djTJB5L8eu8BQGczHx7Ta/eRzD/452KSv9Nau5QkS52z+8sDAACG\nyUhVDu0ey6Hd638Y6WoM04Oe+pmzmdbao0keXbTtPQuWzyV521WO/dkkP9vPOQEAADa7hYF6fu7t\nawZd0qr0M4wWAAAAVkTYBAAAoHPCJgAAAJ0TNgEAAOicsAkAAEDnhE0AAAA6J2wCAADQOWETAACA\nzgmbAAAAdE7YBAAAoHPCJgAAAJ0TNgEAAOicsAkAAEDnhE0AAAA6J2wCAADQOWETAACAzgmbAAAA\ndE7YBAAAoHPCJgAAAJ0TNgEAAOicsAkAAEDnhE0AAAA6J2wCAADQOWETAACAzgmbAAAAdE7YBAAA\noHPCJgAAAJ0TNgEAAOicsAkAAEDnhE0AAAA6J2wCAADQOWETAACAzlVrbdA1LOm5555bn4UBAADw\nEjfccEMt3ubOJgAAAJ0TNgEAAOjcuh1GCwAAwMblziYAAACdEzZXqaruqKovVdVUVd036HpYuaq6\npap+v6q+WFUnqurvDromVqeqtlTVH1XVI4OuhdWpqu+pqo9W1f/b+5n8a4OuiZWrqv+y9/fpU1X1\ncFVtH3RNLK+qPlhVf1pVTy3YdmNVPV5Vk72vrx5kjSzvKv34P/X+Xv1cVf1mVX3PIGtkeUv144J9\nP11Vrap2DKK21RA2V6GqtiR5f5K3JLktydur6rbBVsUqXEzyX7XW/nKS1yf5O/pxw/q7Sb446CJ4\nWf7XJP97a+3fSvLvRH9uOFV1U5L/PMlfba39QJItSQ4Ptir69KEkdyzadl+S32utTST5vd4669uH\ncmU/Pp7kB1pr/3aSf5Xk3WtdFCv2oVzZj6mqW5K8OclX17qgl0PYXJ3XJplqrT3dWvt2kiNJDg24\nJlaotfaN1tpnessvZP6X25sGWxUrVVU3J/mPkvzKoGthdarqu5O8IckHkqS19u3W2p8NtipWaWuS\n0arammQsyekB10MfWmtPJDm7aPOhJB/uLX84yVvXtChWbKl+bK39bmvtYm/1D5PcvOaFsSJX+XlM\nkl9I8l8n2VAP3BE2V+emJF9bsH4qQsqGVlW7kvxQkk8NthJW4X/J/F++c4MuhFX7/iTPJvnV3nDo\nX6mq7xp0UaxMa+3rSf7nzP+v+zeSPNda+93BVsXL8G+01r6RzP/nbJLvHXA9vHz/SZLfGXQRrFxV\nHUzy9dbaHw+6lpUSNlfniheWZoP9LwPfUVV/LsnHkvwXrbXnB10P/auqA0n+tLV2fNC18LJsTfJX\nkvxia+2HkvzrGLK34fTm9B1KsjvJX0jyXVV192CrApKkqv5B5qcPPTjoWliZqhpL8g+SvGfQtayG\nsLk6p5LcsmD95hgqtCFV1bbMB80HW2v/YtD1sGI/kuRgVZ3M/HD2N1bVA4MtiVU4leRUa+3yyIKP\nZj58srHsT/KV1tqzrbULSf5Fkn93wDWxev9fVX1fkvS+/umA62GVquqeJAeSvKN55+FG9Bcz/594\nf9z7fefmJJ+pqj8/0Kr6JGyuzpNJJqpqd1Vdl/kHIBwdcE2sUFVV5ueIfbG19o8GXQ8r11p7d2vt\n5tbarsz/HH6iteZOygbTWvuTJF+rqr/U2/SmJF8YYEmszleTvL6qxnp/v74pHvS0kR1Nck9v+Z4k\nvz3AWlilqrojyc8kOdhamxl0Paxca+3zrbXvba3t6v2+cyrJX+n927nuCZur0JtofW+SxzL/D+lH\nWmsnBlsVq/AjSd6Z+bthn+19/sNBFwWb1H+W5MGq+lyS25P8DwOuhxXq3Zn+aJLPJPl85n/H+OWB\nFkVfqurhJH+Q5C9V1amqeleSn0vy5qqazPwTMH9ukDWyvKv04z9J8qokj/d+z/mnAy2SZV2lHzes\ncjcdAACArrmzCQAAQOeETQAAADonbAIAANA5YRMAAIDOCZsAAAB0TtgEAACgc8ImAAAAnRM2AQAA\n6Nz/DxbN6xM+T1ekAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21af109cd30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import poisson\n",
    "\n",
    "# additional imports for plotting purpose\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"figure.figsize\"] = (14,7)\n",
    "\n",
    "\n",
    "# continuous pdf for the plot\n",
    "x_s = np.arange(15)\n",
    "y_s = poisson.pmf(k=x_s, mu=5)\n",
    "plt.scatter(x_s, y_s, s=100);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cumulative Probability Density Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X <=3) = 0.2650259152973616\n",
      "P(2 < X <= 8) = 0.8072543457950705\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import poisson\n",
    "\n",
    "# probability of x less or equal 0.3\n",
    "print(\"P(X <=3) = {}\".format(poisson.cdf(k=3, mu=5)))\n",
    "\n",
    "# probability of x in [-0.2, +0.2]\n",
    "print(\"P(2 < X <= 8) = {}\".format(poisson.cdf(k=8, mu=5) - poisson.cdf(k=2, mu=5)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "## 绘制 $\\lambda$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimated LAMBDA: 6.923\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(-2.5,0.17,'Depicted below is the distribution of a sample (blue) drawn from a Poisson distribution with $\\\\lambda = 7$.\\nAlso the estimated distrubution with $\\\\lambda \\\\sim 6.923$ is shown (yellow).')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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uy9KDwhPwcXkRYCv8YU2R1/lPWvGCgyAIgmBcGVmDZOIo4H/Jl/PF6WV0Dqh+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BX+8i99YPE55wZoWiFxGRcoZshKSZ+cBtxMnILcArnHPVQBXwRuIk4EnATw6h7Xrgd8TJyBXA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\nf/ZOaRjnyAywAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21af0cd2748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from collections import Counter\n",
    "\n",
    "plt.figure(dpi=100)\n",
    "\n",
    "##### COMPUTATION #####\n",
    "# DECLARING THE \"TRUE\" PARAMETERS UNDERLYING THE SAMPLE\n",
    "lambda_real = 7\n",
    "\n",
    "# DRAW A SAMPLE OF N=1000\n",
    "np.random.seed(42)\n",
    "sample = poisson.rvs(mu=lambda_real, size=1000)\n",
    "\n",
    "# ESTIMATE MU AND SIGMA\n",
    "lambda_est = np.mean(sample)\n",
    "print(\"Estimated LAMBDA: {}\".format(lambda_est))\n",
    "\n",
    "##### PLOTTING #####\n",
    "# SAMPLE DISTRIBUTION\n",
    "cnt = Counter(sample)\n",
    "_, values = zip(*sorted(cnt.items()))\n",
    "plt.bar(range(len(values)), values/np.sum(values), alpha=0.25);\n",
    "\n",
    "# TRUE CURVE\n",
    "plt.plot(range(18), poisson.pmf(k=range(18), mu=lambda_real), color=\"#fc4f30\")\n",
    "\n",
    "# ESTIMATED CURVE\n",
    "plt.plot(range(18), poisson.pmf(k=range(18), mu=lambda_est), color=\"#e5ae38\")\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=6, y=.06, s=\"sample\", alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=3.5, y=.14, s=\"true distrubtion\", rotation=60, alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "plt.text(x=1, y=.08, s=\"estimated distribution\", rotation=60, alpha=.75, weight=\"bold\", color=\"#e5ae38\")\n",
    "\n",
    "# TICKS\n",
    "plt.xticks(range(17)[::2])\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0.0009, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# TITLE, SUBTITLE & FOOTER\n",
    "plt.text(x = -2.5, y = 0.19, s = \"Poisson Distribution - Parameter Estimation\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -2.5, y = 0.17, \n",
    "         s = 'Depicted below is the distribution of a sample (blue) drawn from a Poisson distribution with $\\lambda = 7$.\\nAlso the estimated distrubution with $\\lambda \\sim {:.3f}$ is shown (yellow).'.format(np.mean(sample)),\n",
    "         fontsize = 19, alpha = .85)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
